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Finding the Fourth Proportional to 610,125.86, 914,543.52 and 225,627.64

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Solution

The fourth proportional to 610,125.86, 914,543.52 and 225,627.64 is: 338,202.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,125.86 : 914,543.52 = 225,627.64 : x
  2. Step 2: Convert to fraction form
    610,125.86/914,543.52 = 225,627.64/x
  3. Step 3: Cross multiply
    610,125.86x = 914,543.52 × 225,627.64
  4. Step 4: Simplify right side
    610,125.86x = 206,346,296,094.89
  5. Step 5: Solve for x
    x = 206,346,296,094.89/610,125.86
  6. Step 6: Final answer
    x = 338,202.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.